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广东高职自主招生试题数学卷共2大题,17小题,满分100分
一、选择题本题共14个小题,每小题5分,共70分;每小题惟独一个正确答案
1.若ab,则下列各式中正确的是A.a2b2B.a3b3C.Iog2alog2b D.
2.在复平面内,复数zil2i对应的点位于A.第一象限B.第二象限C.第三象限D.第四象限
3.设集合Al,0,1集?,Bxx22x30,则ABA.1,0B.1,0,1C.xlWxW2D.1W W1X X
4.已知平面向量a=1,2,b=m,4,且a//b,则ab=A.4B.10C.6D.
105.m2是直线mlxy20和直线mx2m2yl0相互垂直的A.充分不必要条件B.必要不充分条件C.充分必要条件D.既不充分也不必要条件
6.已矢口sin4n,n,贝U tan523344A.B.C.D.443311ab
7.如下图所示,一个空间几何体的正视图和侧视图都是边长为1的正方形,俯视图是一个直径为1的圆,那么这个几何体的全面积为()俯视丸八3B.C.n D.n1242A.正视图侧视图文化课考试试卷(B卷)第6页(共14页)
8.函数y3sin2x是A.最小正周期为2”的奇函数B.最小正周期为2n的偶函数C.最小正周期为n的奇函数D.最小正周期为n的偶函数
9.可作为函数yf(x)的图像是()ABCD
10.给定下列三个命题:1若一个平面内的两条直线与另一个平面都平行,那么这两个平面相互平行;垂直于同一直线的两条直线相互平行;若一条直线与一个平面内的两条直线都垂直,则这条直线与这个平面垂直则正确的命题个数是()❹A.3个B.2个C.1个D.0个x2y21上的点,若Fl、F2是椭圆的两个焦点,则PF1PF2()
11.设P是椭2516A.10B.8C.6D.
512.某公司招聘员工,经过笔试确定面试对象人数,面试对象人数按拟录用人数分段计1Wx近104x,算,计算公式为y2x10,107x^100,其中x代表拟录用人数,y代表面试对象人数
1.5x,x100若应聘的面试对象人数为60人,则该公司拟录用人数为()A.15B.25C.40D.
13013.从甲、乙、丙三人中任选两名代表,甲被选中的概率为()112A.B.C.D.1323文化课考试试卷(B卷)第7页(共14页)
14.阅读右边的程序框,若输入的N100,则输出的结果是()101A.50B.2103C.51D.2
二、解答题(本题有3小题,共30分解答时需写出文字说明与演算步骤)
15.(本小题满分8分)求过点(2,3)且与圆63)2丫21相切的切线方程
16.(本小题满分10分)在等比数列数n}中,已知al2,a416o
(1)求数列{an}的通项公式an;⑵若a
3、a5分别为等差数列{bn}的第3项和第5项,试求数列{bn}的通项公式bn及前n项的和Sno
17.(本小题满分12分)如图,位于A处的信息中心获悉在其正东方向相距40海里的B处有一艘渔船遇险,在原地等待救援信息中心即将把消息告知在其南偏西30,相距20海里C处的乙船,现乙船朝北偏东的方向北东沿直线CB前往B处救援,求cos的值ABC文化课考试试卷(B卷)第8页(共14页)(英语卷共4大题,62小题,满分100分)
一、单项填空(本题有20小题,每小题L5分,共30分;从A、B、C、D四个选项中,选出可以填入空白处的最佳选项)
1.—Where isMr.Jack atthis momentA.He comesfrom Tokyo.B.He lovesbasketball.C.He isplaying basketballon theplayground D.Basketball ish isfavorablesport.
2.一Hello,may Ispeak toBob pleaseA.Thank you.B.I’m sorry.C.My nameis Jack.D.Sorry,hes not here.
3.Do youknow when_________________A.will his shop bestarted B.his shopwill startC.his shopwill bestarted D.hisshopwill bebegun
4.―Would youlike togo toMount Taiwith usA.Yes,I did.B.No,I didn,t.C.Yes,of course.D.Oh,I amf edup withyou.
5.It suddenlyoccurred tome thatwe couldthe policefor help.A.ask B.look C.tell D.meet
6._______Chinese westudy English,maths,physics,chemistry andso on.A.Except B.Beside C.Outside D.Besides
7.You cannotimagine howmuch IA.cost B.paid C.spent D.bou ght
8.This bridgeis___________that one.A.as three times longas B.three timesthe lengthofC.threetimeas longas D.three timesas longeras
9.The picture_______on thewall ispainted bymy nephew.A.having hungB.hanging C.hangs D.being hungA.news B.knowledge C.notice D.message
11.we cantunderstand ishe didntjoin usinthe discussion.A.What;why B.What;how C.That;that D.That;whether
12.I11be veryglad ifyou agreeto thismatter.文化课考试试卷(B卷)第9页(共14页)A.look upB.look forC.look intoD.look at
13.We everythinginto considerationbefore wedrew upt heplan.A.took B.were takingC.did takeD.had takenA.missed B.wasted C.escaped D.failed
15.Its sohot anddry.The treesA.need towater B.need wateringC.want towater D.want tobewatering
16.Surely herdaughter wouldmake aneven biggerefforther.A.please B.pleased C.to pleaseD.having pleased
17.A well-written compositiongood choiceof wordsand clearorganizationamong otherthings.A.calls onB.calls upC.calls forD.calls off。